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Finding the Fourth Proportional to 9,048.24, 13,567.16 and 2,806.64

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Solution

The fourth proportional to 9,048.24, 13,567.16 and 2,806.64 is: 4,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.24 : 13,567.16 = 2,806.64 : x
  2. Step 2: Convert to fraction form
    9,048.24/13,567.16 = 2,806.64/x
  3. Step 3: Cross multiply
    9,048.24x = 13,567.16 × 2,806.64
  4. Step 4: Simplify right side
    9,048.24x = 38,078,133.94
  5. Step 5: Solve for x
    x = 38,078,133.94/9,048.24
  6. Step 6: Final answer
    x = 4,208.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.